I’ve tried a lot of things and I’m completely stumped. I should also mention that these are two separate WP installs using the same domain, hence why they are different. I’m just trying to get them to be consistent.

The CSS between the two seems quite different. It’s a little hacky but you can try this:
1. Add this
div .widgetarea .cc-widget .cc-widget-right .span4 {
float: right;
}
2. Enclose your <a href="http://ocap.dc.gov/"> and <a href="http://planning.dc.gov"> elements inside a div and set the float property of that div to float:right aswell.
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